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Finding the Fourth Proportional to 31,610.40, 43,622.98 and 17,463.74

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Solution

The fourth proportional to 31,610.40, 43,622.98 and 17,463.74 is: 24,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.40 : 43,622.98 = 17,463.74 : x
  2. Step 2: Convert to fraction form
    31,610.40/43,622.98 = 17,463.74/x
  3. Step 3: Cross multiply
    31,610.40x = 43,622.98 × 17,463.74
  4. Step 4: Simplify right side
    31,610.40x = 761,820,380.75
  5. Step 5: Solve for x
    x = 761,820,380.75/31,610.40
  6. Step 6: Final answer
    x = 24,100.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.